I am pretty sure I remember a couple people having propane fires but I recommend you call and ask to be sure. Sorry I didn't know for sure, but I also think it will depend on how high the fire risk is etc.
This is usually not a campground rule but a county rule that changes based on conditions. I suggest you check the below for current conditions. Having said that, most states seem to allow propane fire pits even during a fire band which is exactly why we bought one. https://fwp.mt.gov/news/current-closures-restrictions